Solution to fractional-order Riccati differential equations using Euler wavelet method

Abstract

The Fractional-order Differential Equations (FDEs) have the ability to model the real-life phenomena better in a variety of applied mathematics, engineering disciplines including diffusive transport, electrical networks, electromagnetic theory, probability, and so forth. In most cases, there are no analytical solutions; therefore, a variety of numerical methods have been developed for obtaining solutions to the FDEs. In this paper, we derive numerical solutions to various fractional-order Riccati-type differential equations using the Euler Wavelet Method (EWM). The Euler wavelet operational matrix method converts the fractional differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate validity and efficiency of the technique. (C) 2019 Sharif University of Technology. All rights reserved.